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Joel Tropp

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User-Friendly Tools for Random Matrices IBig Data Boot Camp 20132013-09-03
Shows that a sample covariance estimator is a sum of independent rank-one pieces and analyzes its spectral error with a Matrix Bernstein concentration bound…
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User-Friendly Tools for Random Matrices IIBig Data Boot Camp 20132013-09-03
Proves a concrete tail bound for a matrix Rademacher series: P(λ_max(X) ≥ t) ≤ D exp(−t^2/(2σ^2)) with σ^2 = ||E[X^2]||, so deviations scale like σ and a…
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User-Friendly Tools for Random Matrices IIIBig Data Boot Camp 20132013-09-03
Proves a usable bound: for a Rademacher series X = sum εi Ai the paper builds an exchangeable pairs construction (replace one εi) to form a matrix-Stein pair…
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